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Finding the Third Proportional to 96,391.75 and 208,872

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Solution

The third proportional to 96,391.75 and 208,872 is: 452,606.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,391.75 : 208,872 = 208,872 : x
  2. Step 2: Convert to fraction form
    96,391.75/208,872 = 208,872/x
  3. Step 3: Cross multiply
    96,391.75x = 208,872 × 208,872
  4. Step 4: Simplify right side
    96,391.75x = 43,627,512,384
  5. Step 5: Solve for x
    x = 43,627,512,384/96,391.75
  6. Step 6: Final answer
    x = 452,606.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.